We're dividing 563194 by 61 
We're looking to find how many times 61 goes into 563194.

On to step 1:
61 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 61

Going ahead to step 2:
The number 61 fits into 56 0 times, leaving a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 61

On to step 3:
When dividing 563 by 61, we get 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 14 after subtracting 549 from 563.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 61

Let's proceed to step 4:
141 divided by 61 is 2 with a remainder of 19.
Use 2 as the next digit of our solution. 
Result so far: 92.0
Subtract 122 from 141 to get 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 61

Moving on to step 5:
61 can be fit into 199 3 times, resulting in a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 923.0
Deduct 183 from 199 and we're left with 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 61

Let's proceed to step 6:
164 divided by 61 is 2 with a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 9232.0
If we subtract 122 from 164, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
61 goes into 420 6 times with a remainder of 54.
The next digit of our result is 6. 
Result so far: 9232.6
If we subtract 366 from 420, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 8:
If we divide 540 by 61, we get 8 and a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 9232.68
If we subtract 488 from 540, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 9:
If we divide 520 by 61, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 9232.688
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 9232.688 with a remaining 0.0032.